On application of linear algebra in classification cubic \(s\)-regular graphs of order \(28p\)
A graph is \(s\)-regular if its automorphism group acts regularly on the set of \(s\)-arcs. In this paper, by applying concept linear algebra, we classify the connected cubic s-regular graphs of order \(28p\) for each \( s \geq 1 \), and prime \(p\).
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| Date: | 2018 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/168 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543138535964672 |
|---|---|
| author | Imani, A. Mehdipoor, N. Talebi, Asghar |
| author_facet | Imani, A. Mehdipoor, N. Talebi, Asghar |
| author_sort | Imani, A. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-05-17T07:54:05Z |
| description | A graph is \(s\)-regular if its automorphism group acts regularly on the set of \(s\)-arcs. In this paper, by applying concept linear algebra, we classify the connected cubic s-regular graphs of order \(28p\) for each \( s \geq 1 \), and prime \(p\). |
| first_indexed | 2026-02-08T07:58:27Z |
| format | Article |
| id | admjournalluguniveduua-article-168 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T07:58:27Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-1682018-05-17T07:54:05Z On application of linear algebra in classification cubic \(s\)-regular graphs of order \(28p\) Imani, A. Mehdipoor, N. Talebi, Asghar \(S\)-regular graphs, Homology group, Coxeter graph, Symmetric graphs, Regular covering 05C25, 20B25 A graph is \(s\)-regular if its automorphism group acts regularly on the set of \(s\)-arcs. In this paper, by applying concept linear algebra, we classify the connected cubic s-regular graphs of order \(28p\) for each \( s \geq 1 \), and prime \(p\). Lugansk National Taras Shevchenko University 2018-04-27 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/168 Algebra and Discrete Mathematics; Vol 25, No 1 (2018) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/168/pdf Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | \(S\)-regular graphs Homology group Coxeter graph Symmetric graphs Regular covering 05C25 20B25 Imani, A. Mehdipoor, N. Talebi, Asghar On application of linear algebra in classification cubic \(s\)-regular graphs of order \(28p\) |
| title | On application of linear algebra in classification cubic \(s\)-regular graphs of order \(28p\) |
| title_full | On application of linear algebra in classification cubic \(s\)-regular graphs of order \(28p\) |
| title_fullStr | On application of linear algebra in classification cubic \(s\)-regular graphs of order \(28p\) |
| title_full_unstemmed | On application of linear algebra in classification cubic \(s\)-regular graphs of order \(28p\) |
| title_short | On application of linear algebra in classification cubic \(s\)-regular graphs of order \(28p\) |
| title_sort | on application of linear algebra in classification cubic \(s\)-regular graphs of order \(28p\) |
| topic | \(S\)-regular graphs Homology group Coxeter graph Symmetric graphs Regular covering 05C25 20B25 |
| topic_facet | \(S\)-regular graphs Homology group Coxeter graph Symmetric graphs Regular covering 05C25 20B25 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/168 |
| work_keys_str_mv | AT imania onapplicationoflinearalgebrainclassificationcubicsregulargraphsoforder28p AT mehdipoorn onapplicationoflinearalgebrainclassificationcubicsregulargraphsoforder28p AT talebiasghar onapplicationoflinearalgebrainclassificationcubicsregulargraphsoforder28p |